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Katen [24]
3 years ago
5

Determine the equation of the

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

y = -3x + 5

Step-by-step explanation:

The slope of any line perpendicular to the given y = 1/3x + 2 is the negative reciprocal of 1/3:  m = -3.

Starting with y = mx + b, substitute -3 for m, 3 for x and 2 for y.  We get:

2 = -3 + b, or b = 5.

Then the desired equation is

y = -3x + 5

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At a concert, there are 3 times as many women as men. 3/5 of the men and 1/3 of the women wear glasses. There are 120 more women
max2010maxim [7]
W = women
m = men

w = 3m (from the first sentence)

1/3w - 3/5m = 120
subsitute 3m for w
1/3(3m) - 3/5m = 120
m - 3/5m = 120
2/5m = 120
2m = 600
m = 300

back to the original equation
w = 3m
w = 3(300)
w = 900

900 women + 300 men = 1200 people.
7 0
3 years ago
Help me with this question please, explain why u choose that answer and show ur steps
Setler [38]
Let’s condense the original expression and see if that’s one of the answers

-1/2(-3/2 x + 6x + 1) - 3x

First we distribute the -1/2

((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x

3/4x - 3x - 1/2 -3x

Combine like terms

(3/4 x - 3x - 3x) -1/2

-21/4 x - 1/2

We could make this a mixed number

-5 1/4 x - 1/2

(Mixed number: 5 times 4 plus one gets the numerator)

So the answer is D
7 0
3 years ago
Read 2 more answers
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that
IceJOKER [234]

Answer:

CI 99%   =  ( - 0.0009 ;  0.0541 )

Step-by-step explanation:

Sample 1 New Yorkers

sample size    n₁   =  558

x₁  =  193

p₁ = x₁/n₁   =  193/ 558      p₁ =  0.3458  q₁ =  1  - p₁   q₁  =  1  -  0.3458

q₁  =  0.6542

Sample 2  Californians

sample size     n₂  =  614

x₂  =  196

p₂  =  x₂/n₂  =  196 / 614    p₂ = 0.3192   q₂  =  1  -  p₂   q₂ =  1 - 0.3192

q₂ =  0.6808

CI 99 %    means   significance level α  = 1 αα%    α = 0.01

α/2  =  0.005

In z-table we look for z score for  0.005    z (c) =  2.57

CI 99 %  =  [  (  p₁  -  p₂ ) ±  z(c) * √( p₁*q₁)/n₁  + ( p₂*q₂)/n₂

p₁ - p₂  =  ( 0.3458 - 0.3192 )  =  0.0266

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =√  0.3458*0.6542)/558 +  0.3192*0.6808)/614

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   = √ 4.05*10⁻⁴   +  3.54 * 10⁻⁴

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =  10⁻² * √7.59    =  10⁻²  *  2.75

Then:

CI 99 %  =  0.0266  ±  2.75 * 10⁻²

CI 99%   =  0.0266   ±  0.0275

CI 99%   =  ( - 0.0009 ;  0.0541 )

6 0
3 years ago
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
taurus [48]

Answer: 34 meters.

Step-by-step explanation;

Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.

Step Two. Solve for width. This is w = 8.

Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). <em>This is 34 meters for perimeter</em>.

6 0
3 years ago
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On a number line suppose point E has a coordinate of 3,EG=6,and Ex=12.is point G the midpoint of EX?what are possible coordinate
seraphim [82]
G is not necessarily the midpoint of EX, G could be at -3 or +9 and X could be at -9 or +15. If G and X are on the same side of E, then G is at the midpoint of EX, if they are on opposite sides, G is not the midpoint of EX.
4 0
3 years ago
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